描述
开 本: 16开纸 张: 胶版纸包 装: 平装是否套装: 否国际标准书号ISBN: 9787301251768丛书名: 中外物理学精品书系
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统计力学无疑是现代物理学的基石之一。考虑到多粒子体系,统计力学是不能绕过的、的工具。另外,几乎所有日常的物理学应用都与统计力学有关。《统计力学——非平衡态热力学的*方法(第二版)(英文影印版)》作为统计力学的专著,侧重于非平衡态热力学问题,是由至于这一方面研究的学者和研究生不应错过的佳作。
内容简介
《统计力学——非平衡态热力学的*方法(第二版)(英文影印版)》详细地介绍了用统计力学方法处理非平衡态热力学和统计物理问题的研究。其中统计方法包含了经典统计和量子统计。本书研究对象主要为平均能量守恒和熵增的系统。探讨了热噪声、化学反应、扩散等等问题。
《统计力学——非平衡态热力学的*方法(第二版)(英文影印版)》可作为统计物理、凝聚态物理、材料科学领域的研究者的参考书,也可供相关领域研究生作为教材使用。
《统计力学——非平衡态热力学的*方法(第二版)(英文影印版)》可作为统计物理、凝聚态物理、材料科学领域的研究者的参考书,也可供相关领域研究生作为教材使用。
目 录
Preface
Classical Statistical Dynamics
1.Introduction
2.Probability Theory
2.1 Sample Spaces and States
2.2 Random Variables, Algebras
2.3 Entropy
2.4 Exercises
3.Linear Dynamics
3.1 Reversible Dynamics
3.2 Random Dynamics
3.3 Convergence to Equilibrium
3.4 Markov Chains
3.5 Exercises
4.Isolated Dynamics
4.1 The Boltzmann Map
4.2 The Heat-Particle
4.3 The Hard-Core Model of Chemical Kinetics
4.3.1 Isomers and Diffusion in a Force-Field
4.3.2 Markov Dynamics
4.3.3 Entropy Production
4.3.4 Osmosis
4.3.5 Exchange Diffusion
4.3.6 General Diffusions
4.4 Chemical Reactions
4.4.1 Unimolecular Reactions
4.4.2 Balanced Reactions
4.5 Energy of Solvation
4.6 Activity-led Reactions
4.7 Exercises
5.Isothermal Dynamics
5.1 Legendre Transforms
5.2 The Free-energy Theorem
5.3 Chemical Kinetics
5.4 Convergence in Norm
5.5 Dilation of Markov Chains
5.6 Exercises
6.Driven Systems
6.1 Sources and Sinks
6.2 A Poor Conductor
6.3 A Driven Chemical System
6.4 How to Add Noise
6.5 Exercises
7.Fluid Dynamics
7.1 Hydrostatics of a Gas of Hard Spheres
7.2 The Fundamental Equation
7.3 The Euler Equations
7.4 Entropy Production
7.5 A Correct Navier-Stokes System
Quantum Statistical Dynamics
8.Introduction to Quantum Theory
9.Quantum Probability
9.1 Algebras of Observables
9.2 States
9.3 Quantum Entropy
9.4 Exercises
10.Linear Quantum Dynamics
10.1 Reversible Dynamics
10.2 Random Quantum Dynamics
10.3 Quantum Dynamical Maps
10.4 Exercises
11.Isolated Quantum Dynamics
11.1 The Quantum Boltzmann Map
11.2 The Quantum Heat-Particle
11.3 Fermions and Ions with a Hard Core
11.4 The Quantum Boltzmann Equation
11.5 Exercises
12.Isothermal and Driven Systems
12.1 Isothermal Quantum Dynamics
12.2 Convergence to Equilibrium
12.3 Driven Quantum Systems
12.4 Exercises
13.Infinite Systems
13.1 The Algebra of an Infinite System
13.2 The Reversible Dynamics
13.3 Return to Equilibrium
13.4 Irreversible Linear Dynamics
13.5 Exercises
14.Proof of the Second Law
14.1 yon Neumann Entropy
14.2 Entropy Increase in Quantum Mechanics
14.3 The Quantum Kac Model
14.4 Equilibrium
14.5 The e-Limit
14.6 The Marginals and Entropy
14.7 The Results
15.Information Geometry
15.1 The Jaynes-Ingarden Theory
15.2 Non-Linear Ising Dynamics
15.3 Ising Model Close to Equilibrium
15.4 Non-linear Heisenberg Model
15.5 Estimation; the Cramer-Rao Inequality
15.6 Efron, Dawid and Amari
15.7 Entropy Methods, Exponential Families
15.8 The Work of Pistone and Sempi
15.9 The Finite-Dimensional Quantum Info-Manifold
15.10 Araki’s Expansionals and the Analytic Manifold
15.11 The Quantum Young Function
15.12 The Quantum Cramer Class
15.13 The Parameter-Free Quantum Manifold
15.14 Exercises
Bibliography
Index
Classical Statistical Dynamics
1.Introduction
2.Probability Theory
2.1 Sample Spaces and States
2.2 Random Variables, Algebras
2.3 Entropy
2.4 Exercises
3.Linear Dynamics
3.1 Reversible Dynamics
3.2 Random Dynamics
3.3 Convergence to Equilibrium
3.4 Markov Chains
3.5 Exercises
4.Isolated Dynamics
4.1 The Boltzmann Map
4.2 The Heat-Particle
4.3 The Hard-Core Model of Chemical Kinetics
4.3.1 Isomers and Diffusion in a Force-Field
4.3.2 Markov Dynamics
4.3.3 Entropy Production
4.3.4 Osmosis
4.3.5 Exchange Diffusion
4.3.6 General Diffusions
4.4 Chemical Reactions
4.4.1 Unimolecular Reactions
4.4.2 Balanced Reactions
4.5 Energy of Solvation
4.6 Activity-led Reactions
4.7 Exercises
5.Isothermal Dynamics
5.1 Legendre Transforms
5.2 The Free-energy Theorem
5.3 Chemical Kinetics
5.4 Convergence in Norm
5.5 Dilation of Markov Chains
5.6 Exercises
6.Driven Systems
6.1 Sources and Sinks
6.2 A Poor Conductor
6.3 A Driven Chemical System
6.4 How to Add Noise
6.5 Exercises
7.Fluid Dynamics
7.1 Hydrostatics of a Gas of Hard Spheres
7.2 The Fundamental Equation
7.3 The Euler Equations
7.4 Entropy Production
7.5 A Correct Navier-Stokes System
Quantum Statistical Dynamics
8.Introduction to Quantum Theory
9.Quantum Probability
9.1 Algebras of Observables
9.2 States
9.3 Quantum Entropy
9.4 Exercises
10.Linear Quantum Dynamics
10.1 Reversible Dynamics
10.2 Random Quantum Dynamics
10.3 Quantum Dynamical Maps
10.4 Exercises
11.Isolated Quantum Dynamics
11.1 The Quantum Boltzmann Map
11.2 The Quantum Heat-Particle
11.3 Fermions and Ions with a Hard Core
11.4 The Quantum Boltzmann Equation
11.5 Exercises
12.Isothermal and Driven Systems
12.1 Isothermal Quantum Dynamics
12.2 Convergence to Equilibrium
12.3 Driven Quantum Systems
12.4 Exercises
13.Infinite Systems
13.1 The Algebra of an Infinite System
13.2 The Reversible Dynamics
13.3 Return to Equilibrium
13.4 Irreversible Linear Dynamics
13.5 Exercises
14.Proof of the Second Law
14.1 yon Neumann Entropy
14.2 Entropy Increase in Quantum Mechanics
14.3 The Quantum Kac Model
14.4 Equilibrium
14.5 The e-Limit
14.6 The Marginals and Entropy
14.7 The Results
15.Information Geometry
15.1 The Jaynes-Ingarden Theory
15.2 Non-Linear Ising Dynamics
15.3 Ising Model Close to Equilibrium
15.4 Non-linear Heisenberg Model
15.5 Estimation; the Cramer-Rao Inequality
15.6 Efron, Dawid and Amari
15.7 Entropy Methods, Exponential Families
15.8 The Work of Pistone and Sempi
15.9 The Finite-Dimensional Quantum Info-Manifold
15.10 Araki’s Expansionals and the Analytic Manifold
15.11 The Quantum Young Function
15.12 The Quantum Cramer Class
15.13 The Parameter-Free Quantum Manifold
15.14 Exercises
Bibliography
Index
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